Square Root Calculator › Square root of 64
Square Root of 64
√64 = 8
64 is a perfect square: 8 × 8 = 64. Its square root is the whole number 8.
| Number | 64 |
| Square root (decimal) | 8 |
| Simplified radical | 8 |
| Perfect square? | Yes |
| Rational? | Yes |
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Prime factorization of 64
64 = 2^6. This is what determines the simplified radical: for √64 you pull out one copy of any prime that appears twice.
Every prime appears an even number of times, which is exactly why 64 is a perfect square and √64 = 8 is a whole number.
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Frequently asked questions
Is 64 a perfect square?
Yes. 64 is a perfect square because 8 × 8 = 64, so √64 = 8.
What is the square root of 64 in simplest radical form?
√64 simplifies to the whole number 8.